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| Tags: math, real, science |
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#1
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Physics and biology are sciences because they put theories up to
falsifiable tests. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Is math, thusly, a pseudo science? Lunk |
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#2
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In article .com,
"Mathematics Lover" wrote: Physics and biology are sciences because they put theories up to falsifiable tests. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Is math, thusly, a pseudo science? Lunk Mathematics is not a science at all in the sense you describe, but is, nevertheless, the queen of sciences. |
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#3
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what do you mean by "queen"?
She is a whore? |
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#4
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In article .com,
Mathematics Lover wrote: Physics and biology are sciences because they put theories up to falsifiable tests. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. You seem confused. The role of conjectures put up to falsifiable tests are the Hypothesis. Theorems play the role of verified theories. The standards of evidence in mathematics are different from those in physics and biology; but then, the standards of physics are different from those in biology as well. The difference is quantitative, not qualitative. I wrote an essay a year and a bit ago on this subject for a friend's blog. If you are not a troll, or if anybody is interested, you can see it at http://andrewlias.blogspot.com/2004_...007393787 004 -- ================================================== ==================== "It's not denial. I'm just very selective about what I accept as reality." --- Calvin ("Calvin and Hobbes") ================================================== ==================== Arturo Magidin |
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#5
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#6
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Mathematics Lover wrote: Physics and biology are sciences because they put theories up to falsifiable tests. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Is math, thusly, a pseudo science? Lunk Mathematics is definitely not a science, but then it never actually claimed to have been one. In the end, science always resorts to empiricism to test it's ideas, whereas all that math requires is that its statements be internally consistent. |
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#7
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I'll make the gullible assumption that the question below is not
frivolous. Mathematics Lover wrote: Physics and biology are sciences because they put theories up to falsifiable tests. They are empirical sciences with probability based confirmation and falsification methods. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, Mathematics is a science based on axioms and proofs. Furthermore, the mathematical apparatus can be an integral part the logical deduction process leading to hypotheses to be empirically tested in other sciences. Take even any hard finance or even an accounting journal and you'll see mathematics used in the latter way. (You included alt.accounting for reasons I do not quite follow.) Many if not most universities have a department of mathematics or mathematical or methodological sciences. Futhermore, or in parallel applied mathematics is essential in fields such as operations research. Sometimes even synonymous. All the best, Timo -- Prof. Timo Salmi ftp & http://garbo.uwasa.fi/ archives 193.166.120.5 Department of Accounting and Business Finance ; University of Vaasa http://www.uwasa.fi/~ts/ ; FIN-65101, Finland Acc. Journals Links http://www.uwasa.fi/~ts/opas/jott/jottjcgi.html |
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#8
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mathematics n : a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement [syn: math, maths] Source: WordNet ® 2.0, © 2003 Princeton University "Mathematics Lover" wrote in message oups.com... Physics and biology are sciences because they put theories up to falsifiable tests. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Is math, thusly, a pseudo science? Lunk |
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#9
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Mathematics Lover wrote: Physics and biology are sciences because they put theories up to falsifiable tests. The equivalent for mathematics would be "conjectures", like Goldbach's Conjecture. This is a statement which has been proven to be true for a large number of "tests", but no absolute proof found. (Every even number found so far _can_ be written as the sum of two primes.) However, tomorrow, it may be proven false. At best, it can be suspected that the conjecture is true or false. A conjecture that has been disproven (especially in individual research) is tossed aside, like a physics concept which has been tested and found not to exist. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Yes, mathematics is unique in this sense. Mathematics works independently of the universe; for instance, hyperbolic geometry (I think that's the one) has nothing to do with the real world, but you can still calculate within it. But mathematics is the only science in which a "theory" can be _logically proven_. Is math, thusly, a pseudo science? Math is a different type of science. For instance, it's the only situation (science or otherwise) where you can actually use the verb "to be" in its literal sense. For instance, the chant "Fur is murder" REALLY means "In my belief, animals should not be killed to make certain types of garments." (However, this chant is not as emotional as "Fur is murder", just like, "Eat the cheeseburger, astronaut boy!"*) The physics law "Force is mass times acceleration" really means "In all the tests so far, the force and mass times acceleration have agreed in value." --- Christopher Heckman * From the TV show "Upright Citizens Brigade", an example of Discordian comedy. They satirize discrimination by having "astronaut" being the least desirable occupation possible, even below "politician". |
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#10
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In article . com, "Proginoskes" writes:
Mathematics Lover wrote: Physics and biology are sciences because they put theories up to falsifiable tests. The equivalent for mathematics would be "conjectures", like Goldbach's Conjecture. This is a statement which has been proven to be true for a large number of "tests", but no absolute proof found. (Every even number found so far _can_ be written as the sum of two primes.) However, tomorrow, it may be proven false. At best, it can be suspected that the conjecture is true or false. A conjecture that has been disproven (especially in individual research) is tossed aside, like a physics concept which has been tested and found not to exist. But most of the esoteric math theorems in abstract set, algebra, geometry, and field theory have not been tested. Moreover, they cannot be tested. Thus, they cannot be scientifically verified or falsified. Yes, mathematics is unique in this sense. Mathematics works independently of the universe; for instance, hyperbolic geometry (I think that's the one) has nothing to do with the real world, but you can still calculate within it. Well, the significant difference of math and science (put in "physical sciences" if you prefer) is as follows: In any given branch of math the axioms are known and the question may be whether a specific result follows from the axioms. In physics, the results may be known (to some accuracy) the question is "what are the axioms?" Mati Meron | "When you argue with a fool, | chances are he is doing just the same" |
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